12786838026417 has 96 divisors (see below), whose sum is σ = 23696241657088. Its totient is φ = 6709756870656.

The previous prime is 12786838026383. The next prime is 12786838026419. The reversal of 12786838026417 is 71462083868721.

It is a happy number.

12786838026417 is a `hidden beast` number, since 1 + 278 + 68 + 38 + 0 + 264 + 17 = 666.

It is not a de Polignac number, because 12786838026417 - 2⁶ = 12786838026353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12786838026419) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2769753 + ... + 5765865.

Almost surely, 2^{12786838026417} is an apocalyptic number.

It is an amenable number.

12786838026417 is a deficient number, since it is larger than the sum of its proper divisors (10909403630671).

12786838026417 is a wasteful number, since it uses less digits than its factorization.

12786838026417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2996341 (or 2996329 counting only the distinct ones).

The product of its (nonzero) digits is 43352064, while the sum is 63.

The spelling of 12786838026417 in words is "twelve trillion, seven hundred eighty-six billion, eight hundred thirty-eight million, twenty-six thousand, four hundred seventeen".